Abstract: One embodiment of a puzzle device comprising a current puzzle state represented by a modulo-M number of N digits, a set of N indicators each capable of indicating one digit of the current puzzle state, an array of N arithmetic and/or logical operations with each operation in the array corresponding to one of said set of indicators, and a control means of selecting one of said set of N indicators. When one of said set of N indicators is selected, its corresponding operation in the array of arithmetic and/or logical operations is selected, applied to the current puzzle state's modulo-M number of N digits, and the new current puzzle state indicated by said set of N indicators. The puzzle game may be played on a dedicated device or as part of a video game on a computer, mobile phone, or game console. Other embodiments are described and shown.